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Finding the Third Proportional to 1,002,128 and 2,197,312

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Solution

The third proportional to 1,002,128 and 2,197,312 is: 4,817,927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,128 : 2,197,312 = 2,197,312 : x
  2. Step 2: Convert to fraction form
    1,002,128/2,197,312 = 2,197,312/x
  3. Step 3: Cross multiply
    1,002,128x = 2,197,312 × 2,197,312
  4. Step 4: Simplify right side
    1,002,128x = 4,828,180,025,344
  5. Step 5: Solve for x
    x = 4,828,180,025,344/1,002,128
  6. Step 6: Final answer
    x = 4,817,927.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.